Stabilized cubic C1-spline collocation method for solving first-order ordinary initial value problems

S. Sallam, M. Naim Anwar

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)

Abstract

This study focuses on the construction of a 'variable' one-parameter cubic C1-spline collocation method for solving the initial value problem (IVP). The method is shown to be strongly unstable if β > 1/2 . The method is a continuous extension of the A-stabilized version of Simpson's rule.

Original languageEnglish
Pages (from-to)87-96
Number of pages10
JournalInternational Journal of Computer Mathematics
Volume74
Issue number1
DOIs
Publication statusPublished - 2000

ASJC Scopus subject areas

  • Computer Science Applications
  • Computational Theory and Mathematics
  • Applied Mathematics

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